[PDF] Top 20 Discrete Painlevé Equations for Recurrence Coefficients of Laguerre-Hahn Orthogonal Polynomials of Class One
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Discrete Painlevé Equations for Recurrence Coefficients of Laguerre-Hahn Orthogonal Polynomials of Class One
... sequences of orthogonal polynomials. In- deed, Laguerre-Hahn families of orthogonal polynomials may appear as a re- sult of modifications of ... See full document
19
Differential equations for families of semi- classical orthogonal polynomials within class one
... Semi-classical orthogonal polynomials have been extensively studied in the literature, from many points of view ...feature of semi-classical orthogonal polynomials is the Pearson ... See full document
22
Discrete semi-classical orthogonal polynomials of class one on quadratic lattices
... study orthogonal polynomials on quadratic lattices with respect to a Stieltjes function, S, that satisfies a difference equation ADS = CMS+D, where A is a polynomial of degree less or equal than 3 ... See full document
21
The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions
... sequences of orthogonal polynomials of class two related to Stieltjes functions satisfying a Riccati type differential equation with polynomial ...difference equations for the ... See full document
20
Second- order differential equations in the Laguerre-Hahn class
... Abstract: Laguerre-Hahn families on the real line are characterized in terms of second order differential equations with matrix coefficients for vectors involving the orthogonal ... See full document
26
Matrix Sylvester equations in the theory of orthogonal polynomials on the unit circle
... the Laguerre-Hahn class on the unit circle contains linear fractional transformations of Carath´ eodory functions which satisfy Riccati type differential equations, then it is a ... See full document
24
Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line
... differential equations are introduced in the study of Laguerre-Hahn orthogonal ...the Laguerre-Hahn orthogonal ...the recurrence relation, that yield ... See full document
19
Laguerre-Hahn orthogonal polynomials on the real line
... study of deformations on orthogonal polynomials appears in a vast list of papers, mainly focusing on orthogonal polynomials related to semi-classical ...t-evolution of the ... See full document
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Symmetric semi-classical orthogonal polynomials of class one on q-quadratic lattices
... are polynomials, subject to restrictions deg(A) ≤ 3, deg(C) ≤ ...so-called class one (see Section ...the recurrence coeffi- cients of orthogonal polynomials in the ... See full document
12
Nonlinear difference equations for a modified Laguerre weight: Laguerre-Freud equations and asymptotics
... difference-differential equations for polynomials which are orthogonal with respect to a weight having a rational logarithmic derivative - the semi-classical weights, and nonlinear difference ... See full document
15
Classification of Laguerre-Hahn orthogonal polynomials of class one
... Jacobi polynomials. These families of polynomials are orthogonal with respect to measures de- fined by an absolutely continuous part with respect to the Lebesgue measure, w, satisfying Aw 0 = ... See full document
18
On linear spectral transformations and the Laguerre-Hahn class
... for Laguerre-Hahn orthogonal polynomials on the real ...fication of the corresponding difference-differential equations that characterize the systems of orthogonal ... See full document
21
Orthogonal polynomials on systems of non-uniform lattices from compatibility conditions
... difference equations in the matrix form for Laguerre-Hahn orthogonal polynomials on systems of non-uniform lattices, the so-called compatibility con- ditions, involving the ... See full document
21
Deformed Laguerre-Hahn orthogonal polynomials on the real line
... semi-classical orthogonal polynomials and integrable dynamical sys- tems is well established (see ...list of studies concern- ing deformation of the recurrence relation ... See full document
17
Glimpses for Effective implementation of Virtual Trainer
... implementation of virtual trainer in an organization. With the invention of new technologies like high speed computer networks and multimedia computers, there is an increasing awareness that direct face to ... See full document
9
Convexity of the extreme zeros of Gegenbauer and Laguerre polynomials
... convexity/concavity of zeros of orthogonal polynomials have been ...behaviour of the higher derivatives of zeros of classical orthogonal polynomials, ... See full document
10
Convergence of the Crank-Nicolson-Galerkin finite element method for a class of nonlocal parabolic systems with moving boundaries
... nonlinearity of Kirchhoff-Carrier type in domains with moving ...Convergence of a fi- nite volume scheme for nonlocal reaction-diffusion systems modelling an epidemic ... See full document
21
The application of optical measurements for the determination of accuracy of gear wheels casts manufactured in the RT/RP process
... Before taking the measurements, an anti-reflection coating was applied on the tested gear wheel. The thickness of the coating ranged from 0,8 µm do 1,2 µm. The measurements were taken at the Institute of ... See full document
4
Szegö polynomials: quadrature rules on the unit circle and on [-1, 1]
... some of the relations that exist between real Szeg¨ o polynomials and certain para-orthogonal polynomials defined on the unit circle, which are again re- lated to certain orthogonal ... See full document
18
Coherent pairs of linear functionals on the unit circle
... description of all coherent pairs of mea- ...least one of the measures must be a classical one (Laguerre or ...subset of the real axis, the following cases ... See full document
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